442951740 has 480 divisors, whose sum is σ = 1791465984. Its totient is φ = 88957440.

The previous prime is 442951727. The next prime is 442951757. The reversal of 442951740 is 47159244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442951695 and 442951704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6611187 + ... + 6611253.

Almost surely, 2^442951740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442951740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895732992).

442951740 is an abundant number, since it is smaller than the sum of its proper divisors (1348514244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442951740 is a wasteful number, since it uses less digits than its factorization.

442951740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 442951740 is about 21046.4186977262. The cubic root of 442951740 is about 762.2875100812.

It can be divided in two parts, 4429 and 51740, that added together give a square (56169 = 237²).

The spelling of 442951740 in words is "four hundred forty-two million, nine hundred fifty-one thousand, seven hundred forty".